دوال بسل التكرارية

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ارجوا اثبت دوال بسل التكرارية ولكم مني جزيل الشكر


1.xJn^`=NJn-xJn+1

2.xJn^`=-NJn+xJn+1

3. 2Jn^`=Jn-1-Jn+1

4. 2NJn=x(Jn-1+Jn+1 )1

5.d/dx(x^-nJn)=-x^-nJn+1

6.d/dx (x^nJn) =x^nJn-1

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